Name: Class Period: Date: 1. The equation of a circle is (x + 2)'+ (y-5)²= 36 a. What is the center? ( , ) b. What is the radius?

Q: 3. The equation of a circle centered at (1,1) with radius 4. a) x? + y? + 2x + 2y – 2 = 0 b) x2 + y?…

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Q: 2a? + 2y? + 8x + 4y + 8 = 0 is the equation of a circle with center (h, k) and radius r for: h and k…

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

Q: The center of a ceiling fan is at (2, 8). If the radius is 12in, what equation represents the outer…

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Q: What is the center and radius for the circle with equation 2x? – 8x + 2y? + 12y + 14 = 0? A (2,–3);…

A: We have to find the centre and radius of given Circle.

Q: Determine the center and radius of a circle given that its equation is x² + 12x + y² - 6y = 4 Use…

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Q: 9. Identify the center and radius for the circle with the equation: (x+2)² + (y-7)² = 16 Center:…

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Q: 3x + 3y? – 12x 30y – 60 = 0 is the equation of a circle with center (h, k) and radius r for: | h =…

A: See the details solution below

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: x + y? – 14x + 6y + 54 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h =…

A: Lets find radius r  and  center(h,k).

Q: What is the equation of the a circle with a center located at (4,-1) and a radius of 9? O (z + 4)? +…

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Q: write the equation of the circle satisfying the given conditions. Express your answers in the form…

A: If (h,k) = center, r is the radius then the equation of the circle is given by:- (x-h)2+(y-k)2=r2…

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

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Q: The equation of a circle is given below. (x+9)² + (y – 46)² = 123 What is its center? What is its…

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Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: The figure shows a lamp located three units to the right ofthe y-axis and a shadow created by the…

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Q: 7. Find the center and radius of the circle defined by the equation given below. x² + 2x + y? +10y =…

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Q: A7: What is the equation of the circle with center (3, –1) and radius 5?

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Q: Write the equation(s) for:   The circle in which the plane through the point (1;1;3) perpendicular…

A: GivenThe circle in which the plane through the point (1,1,3) perpendicular to the z-axisradius of…

Q: x + y? - 14x + 14y +94 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: The equation of circle in its standard form is given by- x-h2+y-k2=r2 where h,k is the center of…

Q: 2x + 2y? + 20x + 4y + 20 = 0 is the equation of a circle with center (h, k) and radius r for: h and…

A: Given :  2x² + 2y² + 20x + 4y + 20 = 0 To find: center (h,k) and radius r?

Q: Evaluate (r2 + y?)ds, C is the left half of the circle with radius 4 centered at (0,0) and is…

A: We calculate this by using concepts of line Integrals !

Q: 3a? + 3y? – 30æ – 18y – 6 = 0 is the equation of a circle with center (h, k) and radius r for: %3D…

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Q: Given (x - 20)² + (y - 0.05)? = 81 %3D What is the center of circle? What is radius? r=

A: We have to find center and radius

Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

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Q: 26. Find the center and radius of the circle whose equation is x2 + y + 14x + 6y = -54 C(x, y) = (

A: Concept - (x-h)^2  + (y-k)^2 =r^2  Here -(h,k) is the center of circle And r is the radius

Q: V9 – x² dx using a geometry formula. Illustrate.

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Q: 1. Determine the circle center and Radius. (x-2) +(y+5) = 100 %3D (x-8)'+y 25 14 (x+3) +(y-1)

A: Question 1,Part a,Given,          x-22+y+52=100We know that,           The standard equation of the…

Q: How is the standard form of a circle’s equation obtained from its general form? Explain.

A: The standard equation of the circle is of the form x-h2+y-k2 =r2 where h,k is the center and r is…

Q: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: Find the equation of the circle with center 2+31 and radius4 units. (A) (x-2) +(y-3) =4 (C) (x-2)…

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation.           Circle:…

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Q: 3a? + 3y? – 18z – 24y + 48 = 0 is the equation of a circle with center (h, k) and radius r for: h…

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Q: x + y - 16x + 18y + 109 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

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Q: Explain in your own words why the general equation of a circle x? + y2 + Dx + Ey+F 0, is a special…

A: Explanation:

Q: The equation 22 + y? – 2x + 2y = 1 describes a circle in the (x, y)-plane with its centre not at the…

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Q: Find the center-radius form of the equation for the circle with a diameter of endpoints (-1, 3) and…

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Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: 6a. What is the center point of the circle from the equation below? (x + 2)² + (y - 4)² = 36 6b.…

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Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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Q: What is the standard form equation of the circle given by the information listed below? Center (0,0)…

A: As standard form of circle is given by : (x-h)2+(y-k)2 = r2 where (h,k) are centres and r is radius

Q: 2. Find the center and radius of the circle whose equation is (z – 10)² + (y – 12)² = 49 C(x, y) = (…

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Q: Eliminate the parameter, A circle: x = h + r cos t, y = k + r sin t. Write the resulting equation in…

A: By eliminating the parameter in the given equation of a circle given below:-x= h+r cos t, y=k +r sin…

Q: What is the equation of the circle with the given parameters? Center: (13, -13) Radius: 4 O (r +13)?…

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Q: Find apolar equation for the circle x² + (y - 3)? = 9. 2

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Q: Determine the center and radius of the following circle equation: x2 + y? – 2x – 12y + 36 = 0 -…

A: The standard form of the circle is given by the equation where is the center and r is the radius of…

Q: Q1/ Find the standard equation of circle if a diameter has end points (2,0) & (0, 2 ).

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Q: Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x²…

A: The standard equation of the circle is: x-h2+y-k2=r2, where h,k and r is radius. We have given a…

Q: What is the radius of the circle with equation I +y+6z 54 +2y? Write the answer in the space…

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Q: Determine the evolute of the circle x2+y2=R2.

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Q: 9. Find the center and radius of the circle z? + y? -2r+ 8y-1=0

A: We first write the given equation in standard form.…